10140101563050 has 240 divisors, whose sum is σ = 30014662376160. Its totient is φ = 2530844300160.

The previous prime is 10140101563021. The next prime is 10140101563147. The reversal of 10140101563050 is 5036510104101.

10140101563050 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 0 + 10 + 15 + 630 + 5 + 0 = 666.

10140101563050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5593024 + ... + 7180676.

It is an arithmetic number, because the mean of its divisors is an integer number (125061093234).

Almost surely, 2^{10140101563050} is an apocalyptic number.

10140101563050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10140101563050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15007331188080).

10140101563050 is an abundant number, since it is smaller than the sum of its proper divisors (19874560813110).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10140101563050 is a wasteful number, since it uses less digits than its factorization.

10140101563050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1587779 (or 1587765 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

Adding to 10140101563050 its reverse (5036510104101), we get a palindrome (15176611667151).

The spelling of 10140101563050 in words is "ten trillion, one hundred forty billion, one hundred one million, five hundred sixty-three thousand, fifty".